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Finding the Third Proportional to 473,669 and 1,017,610

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Solution

The third proportional to 473,669 and 1,017,610 is: 2,186,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,669 : 1,017,610 = 1,017,610 : x
  2. Step 2: Convert to fraction form
    473,669/1,017,610 = 1,017,610/x
  3. Step 3: Cross multiply
    473,669x = 1,017,610 × 1,017,610
  4. Step 4: Simplify right side
    473,669x = 1,035,530,112,100
  5. Step 5: Solve for x
    x = 1,035,530,112,100/473,669
  6. Step 6: Final answer
    x = 2,186,189.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.